Abstract
AbstractWe describe the Amber tool for proving and refuting the termination of a class of probabilistic while-programs with polynomial arithmetic, in a fully automated manner. Amber combines martingale theory with properties of asymptotic bounding functions and implements relaxed versions of existing probabilistic termination proof rules to prove/disprove (positive) almost sure termination of probabilistic loops. Amber supports programs parametrized by symbolic constants and drawing from common probability distributions. Our experimental comparisons give practical evidence of Amber outperforming existing state-of-the-art tools.
Funder
Vienna Science and Technology Fund
European Research Council
Austrian Science Fund
Technische Universität Wien
Publisher
Springer Science and Business Media LLC
Subject
Hardware and Architecture,Theoretical Computer Science,Software